Due to tides mean sea level off of Newport Beach reaches a height of 1.3 meters...
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Physics
Due to tides mean sea level off of Newport Beach reaches aheight of 1.3 meters during high
tide and 0.3 meters during low tide. Successive high tides occurevery 12 hours (43,200
seconds). A buoy with mass m = 40 kg is floating in the oceanoff of Newport Beach.
1) Relevant concepts/equations. (5 points.)
2) Assume we begin to measure the buoy’s displacement at Hightide which occurs exactly
at 12:00 am (0 seconds). Also assume we can model the buoy’sdisplacement as a simple
undamped oscillation. What is the Amplitude and phase angle forthe buoy’s
displacement? (10 points)
3) During one half cycle of six hours (21600 seconds), thebuoy’s displacement passes
through an angle of 180 degrees. From this information, what isthe angular frequency
ω of the buoy? (5 points)
4) Using your previous answer, what is the force constant ‘k’acting on the buoy? (5 points)
5) What is the maximum velocity of the buoy? What is the maximumacceleration of the
buoy? (10 points)
6) What is the energy of the buoy due to tidal displacement? (5points)
7) How much work is done during one low tide to high tide cycle?How much Power per
hour is required to accomplish this? (Assume g = 9.81 m/s^2compare your answer to a
65W light bulb which uses 65 watts per hour). (10 points)
Due to tides mean sea level off of Newport Beach reaches aheight of 1.3 meters during high
tide and 0.3 meters during low tide. Successive high tides occurevery 12 hours (43,200
seconds). A buoy with mass m = 40 kg is floating in the oceanoff of Newport Beach.
1) Relevant concepts/equations. (5 points.)
2) Assume we begin to measure the buoy’s displacement at Hightide which occurs exactly
at 12:00 am (0 seconds). Also assume we can model the buoy’sdisplacement as a simple
undamped oscillation. What is the Amplitude and phase angle forthe buoy’s
displacement? (10 points)
3) During one half cycle of six hours (21600 seconds), thebuoy’s displacement passes
through an angle of 180 degrees. From this information, what isthe angular frequency
ω of the buoy? (5 points)
4) Using your previous answer, what is the force constant ‘k’acting on the buoy? (5 points)
5) What is the maximum velocity of the buoy? What is the maximumacceleration of the
buoy? (10 points)
6) What is the energy of the buoy due to tidal displacement? (5points)
7) How much work is done during one low tide to high tide cycle?How much Power per
hour is required to accomplish this? (Assume g = 9.81 m/s^2compare your answer to a
65W light bulb which uses 65 watts per hour). (10 points)
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